The direction cosines of a line satisfy the relations `lamda(l+m)=nandmn+nl+lm=0`. The value of `lamda` for which the two lines are perpendicular to each other, is

The direction cosines of two lines satisfy the relations lamda(l+m)=n and mn+nl+lm=0 . The value of lamda , for which the two lines are perpendicular to each other, is -

The value of m for which the planes 2x+3y-z=5 and 3x-my+3z=6 are perpendicular to each other is

The value of m for which the planes 2x + 3y -z = 5 and 3x - my + 3z =6 are perpendicular to each other is

Find the magnitude and direction of the resultant of two vectors which are perpendicular to each other.

The value of lamda for which the two vectors hata = 5hati+lamdahatj+hatk and hatb= hati-2hatj+hatk are perpendicular to each other is

The pair of lines whose direction cosines are given by the equations 3l+m+5n=0a n d6m n-2n l+5l m=0 are a. parallel b. perpendicular c. inclined at cos^(-1)(1/6) d. none of these

Find the value of a for which the lines represented by a x^2+5x y+2y^2=0 are mutually perpendicular.

If l_(1), m_(1), n_(1) and l_(2), m_(2), n_(2) are direction cosines of two mutually perpendicular straight lines, then prove that the direction cosines of the straight line which is perpendicular to both the given lines are pm (m_(1)n_(2)-m_(2)n_(1)), pm (n_(1)l_(2)-n_(2)l_(1)), pm (l_(1)m_(2)-l_(2)m_(1))

Find out the correct answer out of the options given against each questions : If the two regression lines are mutually perpendicular to each other, then r is equal to

The condition for which the striaght lines l_(1)x+m_(1)y+n_(1)=0andl_(2)x+m_(2)y+n_(2)=0 are perpendicular to each other is -